US8103365B2 - Method and device for controlling equipment based on multiple-input/one-output control - Google Patents
Method and device for controlling equipment based on multiple-input/one-output control Download PDFInfo
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- US8103365B2 US8103365B2 US12/184,538 US18453808A US8103365B2 US 8103365 B2 US8103365 B2 US 8103365B2 US 18453808 A US18453808 A US 18453808A US 8103365 B2 US8103365 B2 US 8103365B2
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- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
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- the present invention relates to a method and a device for controlling an equipment, and in particular, to a method and a device for controlling an equipment based on multiple-input/one-output control.
- Recent automatic air conditioners for automobiles are arranged to control their blowing air quantity and blowing air temperature to the adequate values corresponding to automobiles' environments, referring to various sensor inputs such as inputs from an ambient temperature sensor, a solar radiation quantity sensor and a room temperature sensor.
- This control system requires a control specification to connect the set values of the blowing air quantity value and blowing air temperature value (which are defined by the opening degree of an air mix damper) to the sensor input values.
- Conventionally widely used air conditioner control systems include a TAO method (described below).
- An automotive air conditioner controls the blowing air temperature and air quantity based on the temperature information of a room temperature sensor so that the room temperature comes closer to the aimed set temperature.
- target blowing air temperature (TAO) is calculated by the following formula.
- TAO E ⁇ ( T SET + ⁇ T ) ⁇ F ⁇ T R ⁇ G ⁇ T AM ⁇ H ⁇ TS+C
- T SET set temperature
- T R room temperature
- T AM ambient temperature
- TS solar radiation quantity
- ⁇ T and C correction constants
- E to H coefficients
- a neural network is also known as another system which is appropriate for the multiple-input/one-output control.
- the TAO method has to define control coefficient of ⁇ T, C, E to H and others as different values depending on types of automobiles.
- the TAO is a multivariable function having four input variables, as the degrees of freedom, such as the set temperature (TSET), room temperature (TR), ambient temperature (TAM), and solar temperature (TS).
- TSET set temperature
- TR room temperature
- TAM ambient temperature
- TS solar temperature
- the controller that uses the neural network tends to increase, at an exponential rate, the number of processing elements to be needed, as the number of inputs increases. Further, this system requires complicated learning processes to be repeated many times until desired input results for various input combinations are obtained, which requires a long lead time for the development. Further, an application of the learning processes requires a computer with high performance, which causes installation cost to be high.
- an object of the present invention to provide an equipment control method and an equipment control device, which are applied to the multiple-input/one-output type of equipment control system, can obtain desired output results from input values by merely preparing and applying easily obtainable model control patterns to simple and less processing-intensive algorithms.
- An equipment control method is allowed to control equipment by referring at least N pieces (N ⁇ 2) of mandatory input variables, and by calculating a primarily defined single output variable value based on the mandatory input variables.
- the mandatory input variables include fixed first type of input variables and remaining second type of input variables.
- the first type of input variables have M (1 ⁇ M ⁇ N) pieces, and the second type of input variables have (N ⁇ M) pieces.
- Each of the first type of input variables and the second type of input variables has different types of input variables.
- the equipment control method comprises following steps of:
- An equipment control device is allowed to control equipment by referring at least N pieces (N ⁇ 2) of mandatory input variables, and by calculating a primarily defined single output variable value based on the mandatory input variables.
- the mandatory input variables include fixed first type of input variables and remaining second type of input variables.
- the first type of input variables have M (1 ⁇ M ⁇ N) pieces, and the second type of input variables have (N ⁇ M) pieces.
- Each of the first type of input variables and the second type of input variables has different types of input variables.
- the equipment control device basically comprises the following four means:
- a control feature information memory means used for separately preparing a plurality of model control patterns for defining a relation between the second type of input variables having (N ⁇ M) pieces and the output variable values, for determining the output variable values according to the mandatory input variable values.
- the patterns are defined on each of model coordinates in predetermined Q pieces (Q ⁇ 2) on an M-dimensional input space extended by the first type of input variables;
- a morphing coordinates means utilized for appointing coordinates in the M-dimensional input space of the first type of input variables included in N-dimensional input values as actual control coordinates, when the N-dimensional input values of the mandatory input variables are provided;
- a control pattern morphing means used for forming combined control patterns corresponding to the actual control coordinates point by morphing a shape of the model control patterns having J pieces and corresponding to each morphing coordinates.
- the morphing is performed according to weighting between the morphing coordinates in the M-dimensional input space and the actual control coordinates, in the control pattern space extended by the second type of input variables and the output variables;
- an output variable calculation means used for calculating output variable values corresponding to the N-dimensional input values based on the combined control patterns.
- the variables are divided into the second type of input variables, which is directly written as the model control patterns with relation to the output variables, and the first type of input variables, which is used for mapping the model control patterns.
- the space extended by the first type of input variables is designated as an M-dimensional space.
- the number M of the first type of input variables can be one or two, and the one variable forms a one dimension space (straight line), whereas the two variables form a two-dimensional space (plane).
- the space extended by the second type of input variables and the output variables form the control patterns.
- the number N of the second type of input variables can be one, which forms a two-dimensional space (plane) with a combination of the output variables.
- the control pattern space becomes a space of three or more dimensions in a narrow definition, when N is two or more.
- two or more of model coordinates are defined on the M-dimensional input space, and the model control pattern is mapped and prepared for each of the model coordinates, reflecting desired control feature between the second type of input variables and the output variables for each of the combinations of individual first type of input variable values.
- the coordinate points can be plotted as the actual control coordinates on the M-dimensional input space, by extracting the first type of input variable values in the mandatory input variables.
- Two or more of the model coordinates, which are present on the predetermined morphing-objective space that includes the actual control coordinate point are defined as the morphing coordinates.
- the actual control coordinates point representing the present values of the first type of input variables change every second, and it never meets any of the model coordinates, in general. Therefore, a plurality of the model coordinates abutting the actual control coordinate point is selected as the morphing coordinates. The specific selection of them depends on how the morphing-objective space is set.
- Each of the model coordinates is given its own model control patterns.
- Each model control pattern is the control function to write how to change the output variables depending on the remaining second type of input variable values, when the first type of input variables out of the mandatory input variable are fixed on the coordinates values of the model coordinates. Viewing this on the control pattern space can allow ones to grasp this as a figure having own shape on each model coordinates.
- control pattern control function
- morphing technique see, for example, “IEEE Computer Graphics and Applications, January/February 1998, 60-73.”
- the model control patterns prepared in accordance with a plurality of the morphing coordinates in the M-dimensional input space are considered to be a figure in each control pattern, and weighting factors given by a distance between each morphing coordinates point and the actual control coordinates point in the M-dimensional input space can allow the morphing to be done in the same manner as the image composition process.
- Conventional morphing is aimed only at visually outputting images combined by the morphing.
- the control patterns are combined by the morphing, and the combined control patterns resulted in the morphing are secondly used for equipment control process as control function for determining the output variable values when the second type of input variables are given.
- the combined control patterns corresponding to the actual control coordinates point given by the morphing are obtained by the pure image combine process.
- the combined control patterns do not conflict at all with the control technique.
- they can reflect desired control feature at the actual control coordinate point, as far as each control pattern is prepared as a reflection of proper control feature between the second type of input variables and the output variables.
- the equipment control has a multiple-input and single-output embodiment, the main work in development is to only mechanically repeat, for example, experimental tests on gaining the model control patterns that represent the relation between the second type of input variables and the output variables, for each value (coordinates value of the model coordinates) of the first type of input variable values.
- the installation of the obtained model control patterns to equipment leads to an actual and immediate use of the equipment.
- the image combined algorithm obtained easily with less man-hour by the morphing can result in the desired equipment control method and device, with which desired output results can be derived from any input values.
- the first type of input variables with a number M of two pieces causes the M-dimensional input space to form two or more dimension of space.
- a group of the model coordinated points and the model control pattern has to be prepared on the same dimension space in a mapping form.
- easy and proper determination of the morphing coordinates against the actual control coordinate point in the M dimension can be determined in such a manner as follows, which can make the morphing algorithm simpler. That is, the frame connection of the adjacent model coordinates in the M-dimensional input space allow a plurality of unit cells to be disposed so as to tightly section the M-dimensional input space in a manner that each vertex is a model coordinates point.
- the one including the actual control coordinate point is designated as the morphing-objective space
- the model coordinates representing the vertexes of the unit cell are used as the morphing coordinates. Sectioning in advance the M-dimensional input space into unit cells (the morphing-objective space) as well as determining which unit cell the actual control coordinates point belong to can allow the model coordinates, each of which is a vertex of the unit cell, to be easily determined as the morphing coordinates.
- the minimum number of the vertexes of such a unit cell is M+1 that is obtained by connecting the model coordinates dispersed in the M-dimensional input space with one another.
- M-dimensional input space forms a unit cell (i.e., a simplex) having the shape of a triangle that is given minimum vertexes.
- the model coordinates representing the vertexes of the simplex, in which the actual control coordinates point is included can be primarily determined so that each of the model coordinates point is determined as the nearest (M+1) coordinates point.
- each simplex (in the broad sense) sectioning the space is referred to as a Delaunay triangle (when M is three, the Delaunay triangle forms a triangular pyramid having four vertexes).
- the use of the Delaunay triangle as the unit cell allows the combined control patterns to be obtained, with the use of model coordinates nearest to the actual control coordinates point, as well as the use of the morphing of the smallest number of the model control patterns. This can simplify the process.
- the unit cell can be selected as a redundant vertex unit cell having M+2 pieces of vertexes.
- the equipment control method for controlling equipment according to the present invention can be performed by referring to at least N pieces (N ⁇ 3) of mandatory input variables, and by calculating a primarily defined single output variable value based on the mandatory input variables.
- the mandatory input variables include fixed first type of input variables and remaining second type of input variables.
- the first type of input variables has M (2 ⁇ M ⁇ N) pieces, and the second type of input variables has (N ⁇ M) pieces.
- Each of the first type of input variables and the second type of input variables has different types of input variables. This method comprises the following steps of:
- adjacent model coordinates are frame connected with one another in the M-dimensional input space, thereby a plurality of redundant vertex unit cells are disposed so as to tightly section the M-dimensional input space by appointing vertexes as the model coordinates, the unit cell having M+2 pieces of vertexes.
- redundant vertex unit cells ones including the actual control coordinated points are designated as the morphing-objective space, M+2 pieces of the model coordinates forming the vertexes of the redundant vertex unit cells are used as the morphing coordinates.
- the application of the redundant vertex unit cell having more vertexes (M+2 or more pieces) than simplex allows the model control patterns relating to formation of the combined control patterns to be increased in number (to be redundant), and improves the properness of the control contents at the actual control coordinates point following the combined control patterns.
- the redundant vertex unit cell can simplify the morphing calculation of the model control patterns.
- the redundant vertex unit cell can be selected as a hypercube having 2 M vertexes.
- the hypercube becomes a rectangular solid when the number of dimensions M is three (conceptually including a cube), and becomes a rectangle (conceptually including a square) when the number of dimensions M is two.
- the M-dimensional input space in this case takes a rectangular coordinate system.
- the morphing calculation should be concerned as such that the coordinates values of Mx (the number of all vertexes) are the independent variables.
- Mx the number of all vertexes
- the application of the following method can significantly simplify the morphing algorithm, when the combined control patterns are to be obtained by a combination of linear interpolation of the model control patterns corresponding to each model coordinates point, based on the geometric relation between the model coordinates, each of which forms the corresponding vertex of the hypercube, and the actual control coordinates point. That is, cuttings are done on the plane of M pieces parallel to each face via the actual control coordinates point of the hypercube.
- each hypercube shares the actual control coordinates point, and is sectioned into partial rectangular solids each having 2 M pieces exclusively, taking one of the model coordinates each forming a vertex of the hypercube.
- the hypercube becomes a rectangular solid when the number of dimensions M is three (conceptually including a cube), and the division number of the hypercube is eight.
- the hypercube becomes a rectangle (conceptually including a square) when the number of dimensions M is two, and the division number thereof is four.
- the division number of partial rectangular solid against the hypercube is two.
- the relative volume against the hypercube of the partial rectangular solid is designated as weight to the model coordinates positioned on an opposed side against the diagonal direction of the hypercube of the model coordinates included in the partial rectangular solid, to perform morphing.
- This method can allow the weight calculation of the morphing weight to be shifted to the volume calculation of each partial rectangular solid, and allows the final combined control patterns to be readily obtained, only with a few times of repetition of the model control patterns, using, for example, a combination of liner interpolation of the model control patterns.
- the second type of input variables is one in number causes the model control pattern and the combined control pattern (as the control pattern extended by the second type of input variable having one piece and the output variable) to form two dimension diagram patterns.
- This method allows the data obtaining process of the model control patterns to fix the first type of input variables, and to simply changing of the values of the second type of input variable having one piece, to simplify the method in finding appropriate output variable values. This can lead to less processing time and a simplification of the algorithm in the morphing calculation due to the use of the diagram patterns.
- the method allows the two dimension diagram patterns to be formed by a certain number of handling points disposed from the pattern starting point to the terminal point, and allows each handling point of the two dimension diagram patterns corresponding to all of the model coordinates to primarily correspond with one another, following the disposition order.
- the morphing process is done by applying the corresponding handling points in the two dimension diagram pattern related to the morphing coordinates, and by determining the two dimensional diagram pattern forming the combined control pattern by using the combined handling points. Restoring the two dimension diagram patterns to the combination of the handling points can lead to handling points with a limited number of morphing calculation, resulting in a decreased load in the morphing calculation.
- the method also allows the combined control patterns to be readily obtained by the handling points given as the result of the morphing.
- the type of the two dimension diagram patterns defined by the handling points can be presented, for example, by curved line patterns including Bezier curves and B-spline curves, but it is better to use the broken curve line that is obtained by sequentially connecting the handling points, for obtaining a simpler calculation.
- Two dimension diagram pattern representing the control pattern can allow the inclination change of the output variables to be controlled in a discontinuous manner at folding points. Such case allows the handling points representing the folding points to be kept as the folding points corresponding the combined control pattern, even after the completion of the morphing combination process. Accordingly, this can prevent the positions of the folding points from becoming unclear, when a plurality of the two dimension diagram patterns having different folding points are geometrically blended.
- An air conditioner applied as the equipment allows the mandatory input variables to include two or more out of the ambient air temperature, solar radiation quantity and temperature deviation that is given by the difference between the room temperature and the set temperature. Further, the output variables can select either the quantity or temperature (or the opening degree of a corresponding air mix damper) of the blown air.
- This allows the control device for an air conditioner (particularly for automobiles) to determine the model control patterns for controlling the quantity or temperature of the blow air repeatedly, and allows the result of the determination to be installed in the control body (air conditioner ECU) of the device with the morphing calculation software. Accordingly, this invention requires neither complicated plan logic nor learning process, compared with the conventional TAO system and the neural network system.
- the invention permits the mandatory input variables to include three objects, which are the ambient temperature, solar radiation quantity and temperature deviation (the difference between the room temperature and the set temperature), and permits the first type of input variables to include two factors, the ambient temperature and solar radiation quantity.
- the invention allows the second type of input variables to include the temperature deviation only, and allows the output variables to include the air quantity.
- This allows the M-dimensional input space to form the two dimension coordinates plane extended by the ambient air temperature and solar radiation quantity.
- the model control patterns to be prepared as the two dimension diagram patterns showing the relation between the temperature deviation and air quantity, in a manner that the model control patterns correspond to the plurality of model coordinates on the two-dimensional coordinates plane. Accordingly, the invention allows the combined control pattern to be readily obtained in a form of the two dimension diagram patterns, which are obtained by applying the morphing process to the model control patterns.
- FIG. 1 is a block diagram showing an example of an electric structure of an air conditioner control device to be applied in the present invention
- FIG. 2 is a block diagram showing a primary portion of the control system in the structure of FIG. 1 ;
- FIG. 3A is a conceptual diagram showing content of a control data memory
- FIG. 3B is a conceptual diagram showing content of another control data memory
- FIG. 4A shows graphs each exemplifying data patterns
- FIG. 4B is a graph showing another data pattern
- FIG. 5 is an illustration exemplifying how to divide an M-dimensional input space into unit cells
- FIG. 6 is an illustration showing a relationship between actual control coordinates and morphing coordinates
- FIG. 7 is a diagram showing the concept of polymorphing
- FIG. 8 is an explanatory diagram explaining the concept of polymorphing calculation algorithm for control patterns given as diagram patterns
- FIG. 9 is a flowchart showing processes for an air quantity control system using the polymorphing calculation algorithm shown in FIG. 8 ;
- FIG. 10 is an explanation showing another example about how to divide the M-dimensional input space into unit cells
- FIG. 11 is an explanation showing a relationship between the actual control coordinate points and the morphing coordinated points shown in FIG. 10 ;
- FIG. 12 is a flowchart showing processes for the air quantity control shown in FIG. 10 ;
- FIG. 13 is another explanation showing the concept of polymorphing calculation algorithm for control patterns given as diagram patterns.
- FIG. 1 is a patterned block diagram showing the entire structure of an air conditioner control device CA, which exemplifies the equipment control device according to the present embodiment.
- the air conditioner control device CA comprises a duct 1 .
- This duct 1 includes a room air suction opening 13 for circulating the room air, and an ambient (atmospheric) air suction opening 14 for taking in the ambient air.
- a switch damper 15 allows either of the openings 13 to 14 to operate.
- the blower 16 operated by a blower motor 23 causes the air from both of the openings 13 , 14 to be sucked into the duct 1 .
- the duct 1 includes an evaporator 17 for generating cool air from the sucked air, and a heater core 2 for generating warm air from the sucked air.
- the heater core 2 heats the sucked air using the waste heat from engine cooling water.
- the cool air and the warm air are mixed together at a proportional rate set by the inclination of an air mix damper 3 , and the mixture of the air is blown out through blow openings 4 , 5 and 6 .
- the defrost blowing openings 4 for preventing a front glass from being clouded are disposed at an upper end of the instrument panel that faces an inner lower edge of the front glass.
- the face blowing openings 5 are disposed at a center front of the instrument panel.
- the foot blowing openings 6 are disposed at a lower end of the instrument panel, which faces passengers' feet in the vehicle. These openings 4 , 5 and 6 are individually opened and closed by the switch dampers 7 , 8 and 9 , respectively. More specifically, in response to the damper-control rotary input phase from the motor 20 , damper drive gear mechanism 10 are driven to open only the defrost blowing opening 4 , only the face blowing opening 5 , only the foot blowing opening 6 , both the face blowing opening 5 and the defrost blowing opening 4 , both the foot blowing opening 6 and the defrost blowing opening 4 , and all the face blowing opening 5 , defrost blowing opening 4 and foot blowing opening 6 .
- the switch damper 15 , the air mix damper 3 and the switch dampers 7 , 8 and 9 are operated by motors 21 , 19 and 20 , respectively.
- These motors 19 , 20 , 21 are, for example, stepping motors, where each operation is centrally controlled by the air conditioner ECU 50 , which serves as the main unit of the air conditioner driving control means.
- a blower motor 23 is for example a brush-less motor, and the air conditioner ECU 50 uses a PWM control manner to control blowing air quantity by controlling the rotation speed of the motor 23 .
- the air conditioner ECU 50 which is computer hardware, is communicably connected with an evaporator sensor 51 , a room air sensor 55 , an ambient air sensor 56 , a water temperature sensor 57 , and a solar sensor 58 .
- An operation unit 100 for a vehicle air conditioner comprises an independent operation unit ECU 160 , and this ECU is communicably connected with an air quantity switch 52 , a blowing opening switch 53 , a temperature switch 54 , an A/C switch 59 , an auto switch 103 , an inner/outer air switch 60 , a first display device 41 and a second display device 42 .
- the operation unit ECU 160 is communicably connected by the air conditioner ECU 50 and a communication bus (for example, a LIN communication bus and the like including a serial communication bus).
- the operation unit ECU 160 which is also computer hardware, and is communicably connected with the air quantity switch 52 , air blowing opening switch 53 , temperature switches 54 D and 54 P, A/C switch 59 , auto switch 103 , inner/outer air switch 60 , first display device 41 and second display device 42 .
- Each operation input status of the air quantity switch 52 , blowing opening switch 53 , temperature switches 54 D and 54 P, A/C switch 59 , auto switch 103 and inner/outer air switch 60 is transmitted to the air conditioner ECU 50 through the operation unit ECU 160 and the communication bus 30 .
- the air conditioner ECU 50 basically performs the following control operations by executing the air conditioner control firmware implemented in a built-in ROM or other memory means, in association with the operations of the operation unit ECU 160 .
- the units 50 and 160 allow a driving IC of a corresponding motor 21 , by transmitting control signals, to cause the switch damper 15 to incline toward the room air side or the ambient air side, according to an operation input status of the inner/outer air switch 60 .
- the units 50 and 160 also allow the evaporator 17 to be ON or OFF according to an operated status of the A/C switch 59 .
- the units 50 and 160 allow an air conditioner operation mode to be switched between a manual mode and an auto mode, according to an input status of the auto switch 103 (a mode switching means).
- the units 50 and 160 allow the motors 19 , 23 , 20 , by sending operation control order, to cause the air mix damper 3 to adjust air temperature, to cause the blower motor 23 to adjust air quantity, and to cause the dampers 7 , 8 and 9 to adjust their positions, in order to make the room temperature become closer to a set temperature.
- This operation is done by referring to input information given by the temperature switches 54 D and 54 P, and output information given by the room air sensor 55 , ambient air sensor 56 , water temperature sensor 57 , and solar sensor 58 .
- the units 50 and 160 allow the blower motor 23 , by transmitting driving control order, to perform air quantity adjustment according to operation input statuses of the air quantity switch 52 and the blowing opening switch 53 .
- the units 50 and 160 further allow the motor 20 to cause the dampers 7 , 8 and 9 to have a corresponding open/close status.
- the air conditioner control device CA calculates one output variable value, referring to N pieces (N ⁇ 2) of mandatory input variables, which are primarily defined for the mandatory input variables, and it controls equipment according to the output variable values.
- the mandatory input variables include types of first type of input variables having M (1 ⁇ M ⁇ N) pieces and fixed, and a remaining second type of input variables having different types of input variables and having “N ⁇ M” pieces.
- the output variables consist of blow air quantity ⁇ or blow air temperature ⁇ . Each of the blow air quantity ⁇ and the blow air temperature ⁇ is independently controlled. The description hereinafter will proceed using the air blow quantity ⁇ .
- the device calculates a single output variable value primarily defined for the mandatory input variables ⁇ , referring the mandatory input variables ⁇ , ⁇ , ⁇ , and it controls an air conditioner, the equipment, based on the output variable ⁇ .
- the firmware is carried out by a computer to implement the functional means including control feature information memory means, morphing coordinates means, control pattern morphing means, and output variable calculation means.
- control feature information memory means operates for separately preparing a plurality of model control patterns P (see FIG. 3A ) for defining a relation between the second type of input variable (the temperature deviation ⁇ ) having Equipment M (N ⁇ M) pieces (thus one in this embodiment) and the output variable value (the air quantity ⁇ ), for determining the output variable (air quantity ⁇ ) value according to the mandatory input variable values (the ambient temperature ⁇ , solar radiation quantity ⁇ , and temperature deviation ⁇ value).
- the control data memory 171 shown in FIG. 1 is used to carry out this operation.
- the morphing coordinates means is as follows. As shown in FIG. 5 , this operates for appointing coordinates in the M-dimensional input space MPS (the plane of ⁇ - ⁇ ) of the first type of input variables (the ambient air temperature ⁇ and solar radiation quantity ⁇ ) included in N-dimensional (three-dimensional) input value px as actual control coordinates px, when the N-dimensional input value (px) of the mandatory input variables (the ambient air temperature ⁇ , solar radiation quantity ⁇ and temperature deviation ⁇ ) is provided.
- the control pattern morphing means performs for forming combined control patterns Px corresponding to the actual control coordinates point px by morphing a shape of the model control patterns Pa, Pb, Pc having J pieces and corresponding to each morphing coordinates (pa, pb, pc), the morphing is performed according to the weighting between the morphing coordinates pa, pb, pc in the M-dimensional input space MPS (the plane of ⁇ - ⁇ ) and the actual control coordinates (px), in the control pattern space CPS (the plane of ⁇ - ⁇ ) extended by the second type of input variable (the temperature deviation ⁇ ) and the output variable (the air quantity ⁇ ).
- the output variable calculation means performs for calculating output variable value (the air quantity ⁇ ) corresponding to the N-dimensional input values based on the combined control patterns Px.
- the air conditioner ECU 170 reads values detected by three sensors as shown in FIG. 3 , which are the room air sensor 55 , ambient air sensor 56 and solar sensor 58 , as well as set temperature set by the temperature switch 54 .
- the detected value of the ambient sensor 56 is given as the ambient air temperature ⁇
- that of the solar sensor 58 is given as the solar radiation quantity ⁇ .
- the difference between the set temperature and the detected value of the room sensor 55 is given as the temperature deviation P (the temperature deviation ⁇ reads minus if the room temperature is below the set temperature, and it reads plus if the former exceeds the set temperature).
- Pairs of the ambient air temperature ⁇ and the solar radiation quantity ⁇ values represent actual control coordinates points px on the M-dimensional input space MPS (the plane of ⁇ - ⁇ ).
- Various groups consisting of the ambient air temperature ⁇ and solar radiation quantity ⁇ (the first type of input variables) having variable values are determined as the model coordinates p.
- the control data memory 170 stores the model control pattern Pi ( ⁇ P 1 to P 30 ) in each of the model coordinates pi ( ⁇ i, ⁇ i).
- each model control pattern Pi ( ⁇ P 1 to P 30 ) represents a two dimension diagram pattern to be drawn on the control pattern plane CPS (the ⁇ - ⁇ plane) which is extended by the temperature deviation ⁇ (the second type of input variable) and air quantity ⁇ (the output variable).
- Each pattern includes a certain number (nine in the drawing) of handling points hi from its starting point to the terminal point, and it is defined by the broken curve line pattern given by the line connecting the handling points hi.
- the control pattern P can be primarily defined as a combination of coordinates values on the ⁇ - ⁇ plane of the handling points hi.
- Each handling point h at each model control pattern Pi has a primary corresponding relation with one another, according to the alignment order.
- the M-dimensional input space MPS (the ⁇ - ⁇ plane) extended by the ambient air temperature ⁇ and solar radiation quantity ⁇ , which are the first type of input variables, is tightly sectioned by the Delaunay triangles (simplex), each vertex thereof is represented by the model coordinate point.
- the detailed control flow using the Delaunay triangles is shown in the flow chart in FIG. 9 .
- a unit cell DT is defined, which includes the actual control coordinate point px having the given ambient air temperature ⁇ and solar radiation quantity ⁇ as the coordinate components (step S 1 ).
- three model coordinates, each of which represents each vertex of the defined unit cell DT, are selected as the morphing coordinates pa, pb, pc (step S 2 ).
- step S 3 three model control patterns Pa, Pb, Pc corresponding to the morphing coordinates pa, pb, pc are read from the control data memory 170 (step S 3 ).
- step S 4 morphing is completed by weight gained based on a distance between the actual control coordinates point px and the each of the morphing coordinates pa, pb, pc, in order to form a combined control pattern Px corresponding to the actual control coordinates point px (step S 4 ).
- the morphing calculator 172 shown in FIG. 1 performs this calculation.
- FIG. 7 conceptually shows a polymorphing algorithm according to the method introduced in “IEEE Computer Graphics and Applications, January/February 1998, 60-73.”
- Three control pattern diagrams Po, P 1 , P 2 each corresponding to a vertex of the Delaunay triangle is exemplified, in which the function Wij designates the warp function from Pi to Pi, and it defines a point on Pi which corresponds to each point on Pi.
- a combined control pattern P can be formed by applying Wij to the gravity center coordinate gi, and inserting Wij for each Pi inside the line shape, thereby providing an intermediate warp function Wi bar.
- the combined control pattern Px can be given by linearly combining the respective points (i.e., respective handling points) of the Pi bar with the use of a weight shown by the gravity center coordinate gi.
- FIG. 8 further describes the above in detail.
- the morphing coordinates pa, pb and pc are represented by the points A, B and C.
- a point X represents an actual control coordinate point px.
- Each of the components of the gravity center coordinate G* can be represented by “ga, gb, gc” and formulated by a formula (1), when a line is drawn from each of vertexes A, B, C to the corresponding side through the point X and each intersection is designated as D, E and F.
- the coordinate values of each point and the length of each side can be calculated by a known analytic geometry, thus omitting a detailed description.
- Three intermediate control pattern Pi bars can be calculated by the formula (2), using Pd, Pe and Pf shown in FIG. 8 .
- Px can be calculated by combining the line shapes of Pd, Pe and Pf with the use of ga, gb and gc as weights therefor.
- each of model control patterns Pa, Pb, Pc corresponding to each of morphing coordinates points pa, pb, pc is, as described hereinabove, a broken line pattern given by the connected handling points, and is equal to the combination of coordinates values of handling points hi on the ⁇ - ⁇ plane. Accordingly, the combination of the handling points of the intermediate control patterns Pd, Pe, Pf can be obtained by substituting Pa, Pb, Pc by a formula (2) with the corresponding coordinate values of the handling points.
- the M-dimensional input space (the ⁇ - ⁇ plane) can be sectioned by the redundant vertex unit cell DT having more vertexes than the Delaunay triangle (simplex).
- An application of the redundant vertex unit cell HCB having more vertexes (M+2 or more) than the simplex can increase the number (performing prolongation from three to four in this case) of model control patterns Pa, Pb, Pc relating to the formation of the combined control patterns Px. This can increase the properness of the control components of the actual control coordinates point px that follows the combined control pattern Px.
- the redundant vertex unit cell HCB is selected as a hypercube HCB having 2 M vertexes.
- Each side of the hypercube HCB is set to be parallel to one of the coordinate axes having M pieces, which extends the M-dimensional input space.
- a dimension number M of two forms a rectangle (conceptually including a square)
- a dimension number M of three forms a rectangular solid (conceptually including a cube).
- Mx the number of all vertexes
- the application of the above mentioned hypercube allows coordinates of other model coordinates to automatically determined from coordinates of a single model coordinates point forming a vertex of the hypercube, if the length (passing M) of each side of the hypercube is given.
- FIG. 13 shows an actual example having the dimension number M of two.
- the coordinates ( ⁇ a, ⁇ a) of the model coordinates pa forming the vertexes of a rectangle (hypercube) HCB closest to the original point of the ⁇ - ⁇ plane (M-dimensional input space) can allow the side length in the ⁇ -axis direction of the rectangle HCB to be shown as ⁇ , and allows the model coordinates pb, pc, pd forming the remaining three vertexes to be shown as “pb:( ⁇ a+ ⁇ , ⁇ a)”, “pc:( ⁇ a, ⁇ a+ ⁇ )” and “pc:( ⁇ a+ ⁇ , ⁇ a+ ⁇ )”, respectively.
- ⁇ As shown in FIG.
- FIG. 12 shows a flowchart demonstrating a specific control flow using the hypercube HCB (rectangle).
- the hypercube HCB is determined, which includes the actual control coordinate point px having the coordinate components of the given ambient air temperature ⁇ and the solar radiation quantity ⁇ .
- four model coordinate points forming each vertex of the defined hypercube HCB are selected as the morphing coordinates pa, pb, pc, pd.
- the corresponding four model control patterns Pa, Pb, Pc, Pd are read from the control data memory 170 (step S 201 ).
- a morphing process is performed with the weight that corresponds to a distance between the morphing coordinates pa, pb, pc, pd and the actual control coordinates point px so as to form a combined control pattern Px corresponding to the actual control coordinates point px (step S 202 ).
- This calculation is completed by the morphing calculator 172 , which is shown in FIG. 1 .
- FIG. 13 conceptually shows the algorithm of the control pattern polymorphing using the hypercube HCB (rectangle).
- the morphing coordinates pa, pb, pc, pd are designated as A, B, C, D, respectively, and the rectangular solid is cut along two straight lines (two planes) parallel to each of sides CA, DB, CD, AB, passing through the actual control coordinates point px of the rectangular solid.
- the rectangle HCB shares the actual control coordinates point X (px), and the rectangle is sectioned into four pieces (2 M pieces) of partial rectangles SCB, each of which exclusively takes one of the model coordinates that form the vertexes of the rectangle HCB.
- the rectangle is sectioned into “CKXN (area: Sb)”, “NXLD (area: Sa)”, “KAMX (area: sd)” and “KMBL (area: Sd)”.
- the relative area (relative volume) of each partial rectangle (partial rectangular solid) SCB relative to the rectangle (hypercube) is designated as a weight to the model coordinates which are positioned on the opposed side to the diagonal direction of the hypercube of the model coordinates included in the partial rectangular solid. Using the designated weights, the morphing is performed.
- the coordinate pa is positioned oppositely to the coordinate pd
- the coordinate pb to the coordinate pc
- the coordinate pd to the coordinate pa and the coordinate pc to the coordinate pb. That is, the combined control patterns Px is calculated and combined as the following formula, when the area of the rectangle HCB is S0.
- Px (1/ S 0) ⁇ ( Sa ⁇ Pa+Sb ⁇ Pb+Sc ⁇ Pc+Sd ⁇ Pd ) (13)
- the algorithm of the morphing calculation is mathematically equivalent to a case when the combined control patterns Px are obtained by sequentially performing the following interpolation synthesis calculation. That is, the principle of leverage is used to combine primary intermediate patterns in such a manner that an orthograph point of the actual control coordinates point px of a line segment extended by the model coordinates is designated as an equinoctial point, between two adjacent model coordinates in each coordinate axis direction of the hypercube HCB. Then, the orthograph point of the actual control coordinate point px in the line segment extended by a corresponding orthograph point is designated as an equinoctial point, for the primary intermediate control pattern obtained in two sides facing each surface of the hypercube HCB.
- a secondary intermediate pattern is formed by combining the primary intermediate control patterns at the equinoctial point. This sequential process is continued repeatedly until the equinoctial point reaches the actual control coordinates point X.
- the interpolation process starting from various sides in the hypercube HCB results in the same final result.
- FIG. 13 exemplifies the above calculation.
- Designating the orthograph point of the actual control coordinates point px to the line segment DB as “L”, as well as designating the orthograph point of the actual control coordinates point px as “KL”, the primary intermediate control pattern P L in the line segment DB side can be calculated by a formula (11) (listed below) in the drawing, and the primary intermediate control pattern P K in the line segment CA side can be calculated by a formula (12) (listed below) in the same drawing.
- Finding the secondary intermediate control pattern using the primary intermediate control pattern P L and P K designating the actual control coordinate X that exists on the line segment KL can lead to a geometrical understanding that the combined control pattern Px can be obtained by the formula (13).
- the formula (17) (listed below) which can be obtained from the formulae (13) and (16) (listed below, shows the result in which Px is represented by ⁇ a and ⁇ a.
- P x 1 ⁇ ⁇ ⁇ ⁇ ⁇ ( ⁇ - ⁇ x ′ ) ⁇ ( ⁇ - ⁇ y ′ ) ⁇ P a + ⁇ x ′ ⁇ ( ⁇ - ⁇ y ′ ) ⁇ P b + ⁇ y ′ ⁇ ( ⁇ - ⁇ x ′ ) ⁇ P c + ⁇ x ′ ⁇ ⁇ y ′ ⁇ P d ( 17 ) is provided.
- a total of three pattern combination processes (two dimensions in degree) were required in order to combine the combined control patterns Px of the actual control coordinate point X in the rectangle HCB, including the combination processes on the line segments CA, DB and KL.
- the number of pattern combination processes is seven (3 times 2 plus 1).
- the experimental preparation of the two dimension diagram patterns needed for the model control patterns provides, as the combined control pattern Px, the two dimension diagram patterns corresponding to the present values of the first type of input variables, using 2 M ⁇ 1 times of processes.
- each combination process can be replaced by the linear interpolation calculation of the handling points coordinates.
- the already described air quantity ⁇ is a parameter corresponding to the air blow temperature or its primary, and it can be replaced by the angular position ⁇ of the air mix damper 3 shown in FIG. 1 .
- the model control pattern is represented by a diagram pattern that shows the relation between the temperature deviation ⁇ and the angular position.
- the control data memory 170 memorizes the diagram patterns PRi ( ⁇ R 1 to R 30 ) in corresponding with each model coordinate point pi ⁇ ( ⁇ i, ⁇ i).
- the present invention can be applied to electronics device controllers other than the air conditioner.
- the number M of first type of input variables can be set to three or more.
- the model control patterns are prepared in a mapping form on the three-dimension or more partial input space, and a combined control pattern is obtained by completing polymorphing of four or more model control patterns.
- the number (N ⁇ M) of the second type of input variables can be set to two or more.
- the control pattern space is given as a three or more dimension space, and the control pattern line shape is prepared as a curved surface in this space.
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Abstract
Description
TAO=E×(T SET +ΔT)−F×T R −G×T AM −H×TS+C
The coordinate values of each point and the length of each side can be calculated by a known analytic geometry, thus omitting a detailed description. Three intermediate control pattern Pi bars can be calculated by the formula (2), using Pd, Pe and Pf shown in
Px=g a ·Pd+g b ·Pe+g e +Pf (3)
The complete combined control pattern Px can be given by connecting them with one another. Finally, on the combined control pattern Px, the value of the air quantity α corresponding to the value of the newly detected temperature deviation β (the second type of input variable) is read and output as the control value (step S5).
Px=(1/S0)×(Sa·Pa+Sb·Pb+Sc·Pc+Sd·Pd) (13)
In this formula, a substitution of
Accordingly, from the formulae (13) and (16),
is provided.
“Q n=2Q n-1+1, Q2=4”.
Finding this formula results in “Qn=2n-1+1”. That is, an application of the hypercube as the unit cell in the M-dimensional input space requires 2M−1 times of pattern combination processes in order to obtain the combined control pattern Px. This teaches that M=2 results in three times, and M=3 results in seven times, which corresponds to the above mentioned results.
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